Similarity and numerical analysis for free boundary value problems∗

DOI10.1080/00207169008803804zbMath0751.65051OpenAlexW2080403343MaRDI QIDQ4009716

Riccardo Fazio, David J. Evans

Publication date: 27 September 1992

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169008803804

zbMATH Keywords

group propertiesnonlinear ordinary free boundary value problemssimilarity properties

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (16)

The iterative transformation method: numerical solution of one-dimensional parabolic moving boundary problems ⋮ Numerical transformation methods: A constructive approach ⋮ Stagnation point flow—a free boundary value problem formulation ⋮ Free boundary formulation for BVPs on a semi-infinite interval and non-iterative transformation methods ⋮ Unnamed Item ⋮ A nonlinear hyperbolic free boundary value problem ⋮ A noniterative transformation method applied to two-point boundary-value problems ⋮ The Blasius problem formulated as a free boundary value problem ⋮ Numerical length estimation for tubular flow reactors ⋮ An implicit difference scheme for a moving boundary hyperbolic problem ⋮ A moving boundary hyperbolic problem for a stress impact in a bar of rate-type material ⋮ On the solutions of an oxygen absorption model ⋮ Normal variables transformation method applied to free boundary value problems^∗ ⋮ On the moving boundary formulation for parabolic problems on unbounded domains ⋮ A non-iterative transformation method for boundary-layer with power-law viscosity for non-Newtonian fluids ⋮ The iterative transformation method and length estimation for tubular flow reactors

Cites Work

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• Numerical evaluations for shock and discontinuity velocity related to similarity solutions of quasilinear hyperbolic systems
• Computational methods in engineering boundary value problems
• Similarity analysis and nonlinear wave propagation
• Analysis and Implementation of an Oxygen Absorption Model
• Exact shooting and eigenparameter problems
• Numerical Similarity Solutions to Stefan Problems
• Finite difference methods and group analysis for a class of quasilinear-hyperbolic equations^∗
• Transforming Boundary Conditions to Initial Conditions for Ordinary Differential Equations

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